7540795440 has 240 divisors, whose sum is σ = 26905840416. Its totient is φ = 1961625600.

The previous prime is 7540795429. The next prime is 7540795517. The reversal of 7540795440 is 445970457.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 792310 + ... + 801770.

Almost surely, 2^7540795440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7540795440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13452920208).

7540795440 is an abundant number, since it is smaller than the sum of its proper divisors (19365044976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7540795440 is a wasteful number, since it uses less digits than its factorization.

7540795440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530 (or 9512 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 7540795440 is about 86837.7535407267. The cubic root of 7540795440 is about 1960.9764882962.

The spelling of 7540795440 in words is "seven billion, five hundred forty million, seven hundred ninety-five thousand, four hundred forty".